DFT Linearity
Learn how the linearity property of the Discrete Fourier Transform (DFT) allows the DFT of a sum of signals to be expressed as the sum of their individual DFTs. This lesson covers the derivation and a practical example demonstrating how complex signals can be analyzed efficiently using this property.
We'll cover the following...
We'll cover the following...
Linearity implies that the DFT of the sum of input signals is the sum of the DFTs of the individual input signals. Let’s find out how.
Derivation
Assume that two input signals and ...